check!
posted by ben! .
Write a recursive formula that generates the terms of the following:
. . .1, 3, 9, 27
my answer:
t1=1, n>2 > tn= 3tn1
is this correct?
Let's test
You have the sequence 1, 3, 9, 27 ...
You wrote
t_{1}=1, n>2 => t_{n}= 3t_{n}1
What is t_{2}? It's undefined so I don't know how to continue.
I think you're supposed to observe that the sequence is powers of 3
1=3^{0}, 3^{1}, 3^{2}, 3^{3}, ...
Let t_{1}=1 and t_{n}=3t_{n1}
Try that and see if it works.
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